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Finding the Third Proportional to 63,629 and 138,194

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Solution

The third proportional to 63,629 and 138,194 is: 300,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,629 : 138,194 = 138,194 : x
  2. Step 2: Convert to fraction form
    63,629/138,194 = 138,194/x
  3. Step 3: Cross multiply
    63,629x = 138,194 × 138,194
  4. Step 4: Simplify right side
    63,629x = 19,097,581,636
  5. Step 5: Solve for x
    x = 19,097,581,636/63,629
  6. Step 6: Final answer
    x = 300,139.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.